Question

How do you evaluate the following algebraic expression at b=-1 and simplify your answer `-3(b-1)-4(b-3)`?

Answer 1

See the entire solution process below:

Explanation:

To evaluate this expression to `b = -1` we need to substitute `color(red)(-1)` for every occurrence of `color(red)(b)` in the expression and then calculate the result to simplify the answer:

`-3(color(red)(b) - 1) - 4(color(red)(b) - 3)` becomes:

`-3(color(red)(-1) - 1) - 4(color(red)(-1) - 3)`

`(-3 xx -2) - (4 xx -4)`

`6 - (-16)`

`6 + 16`

`22`